On the Zero-state Detectability and Stability of Switched Dissipative Hamiltonian Systems

Switched Hamiltonian system is a kind of important hybrid system. Such a system not only plays an important role in the development of hybrid control theory, but also has found many applications in practical control designs for obtaining better control performances. This paper investigates the zero-state detectability/observability of switched dissipative Hamiltonian systems and proposes several sufficient conditions for the problem. Under a realistic assumption, it is shown that the switched dissipative Hamiltonian system is asymptotically stable under arbitrary switching paths if the system is uniformly zero-state detectable/observable. Finally, an example is studied by using the new results proposed in this paper, and several numerical simulations are carried out to support our new results